Ten days is plenty of time to get a Toto Drake locally or through another channel. You're doing everything else right, why knowingly and intentionally buy something lousy from Lowe's or HD? Look at the guy above's experience. In the end he got a Drake and loves it. Really, seriously. Get the Drake. CST744S for the elongated at 1.6gpf. CST744E for the elongated at 1.28gpf.
Here's the spec sheet: http://www.totousa.com/Portals/0/Pro...CST744S_SG.pdf
Need something shorter? Look at the Toto Ultramax MS854114S [for 1.6gpf elongated] MS854114E [for 1.28gpf elongated](27.125") for example.
There are two issues with the Champion. First, challenging quality control and apparently-knowing sale of defective products to people through HD and Lowe's in the hope that they won't return it after it has been taken home and/or installed. To me, that's the big issue.
Second, some second-rate parts. As I have noted elsewhere above and in this forum, you probably want to chuck the tank-to-bowl set and replace it with a quality one, but don't get one with wing nuts because of the deep, inconvenient recess in which those nuts mount. Then you want the Korky flush-valve seal (450BP or 450BPK) in a drawer somewhere for when the flush-valve seal bubbles up and fails.
One thought is to get the better toilet and put it in yourself rather than get the worse toilet and pay someone to put it in. But that's assuming that you're comfortable doing so and can safely lift the items, etc.